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Simplifying 10d + -22 + 6d = 12d + 10 Reorder the terms: -22 + 10d + 6d = 12d + 10 Combine like terms: 10d + 6d = 16d -22 + 16d = 12d + 10 Reorder the terms: -22 + 16d = 10 + 12d Solving -22 + 16d = 10 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. -22 + 16d + -12d = 10 + 12d + -12d Combine like terms: 16d + -12d = 4d -22 + 4d = 10 + 12d + -12d Combine like terms: 12d + -12d = 0 -22 + 4d = 10 + 0 -22 + 4d = 10 Add '22' to each side of the equation. -22 + 22 + 4d = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 4d = 10 + 22 4d = 10 + 22 Combine like terms: 10 + 22 = 32 4d = 32 Divide each side by '4'. d = 8 Simplifying d = 8
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